交叉影响——阻尼对抗解释结构模型

$$\begin{array}{c|c|c|c|c|c|c}{M_{10 \times1}} &初始概率 P\\ \hline A &0.5\\ \hline B &0.3\\ \hline C &0.6\\ \hline D &0.5\\ \hline E &0.4\\ \hline F &0.3\\ \hline G &0.6\\ \hline H &0.2\\ \hline I &0.1\\ \hline J &0.6\\ \hline \end{array} $$

$$R=\begin{array}{c|c|c|c|c|c|c}{M_{10 \times10}} &A &B &C &D &E &F &G &H &I &J\\ \hline A &0 &0.45 &0 &0.4 &0.45 &0.75 &0 &0.45 &0.45 &0\\ \hline B &0.25 &0 &0.28 &0.35 &0 &0.2 &0.38 &0.35 &0.35 &0.34\\ \hline C &0.55 &0.65 &0 &0.65 &0.7 &0.5 &0 &0.65 &0.65 &0.66\\ \hline D &0.4 &0.6 &0.51 &0 &0.55 &0.3 &0.53 &0.55 &0.55 &0.53\\ \hline E &0.3 &0.5 &0.39 &0.5 &0 &0.35 &0.47 &0 &0 &0.43\\ \hline F &0.4 &0.25 &0 &0.1 &0.25 &0 &0.27 &0.25 &0.25 &0.27\\ \hline G &0.55 &0.75 &0 &0.7 &0.75 &0.55 &0 &0 &0 &0.66\\ \hline H &0.1 &0.15 &0 &0.25 &0.25 &0.1 &0 &0 &0.3 &0.24\\ \hline I &0.05 &0 &0 &0.15 &0 &0.05 &0.15 &0.2 &0 &0.15\\ \hline J &0.55 &0.75 &0.59 &0.7 &0.75 &0.5 &0.66 &0 &0 &0\\ \hline \end{array} $$

$$C=\begin{array}{c|c|c|c|c|c|c}{M_{10 \times10}} &A &B &C &D &E &F &G &H &I &J\\ \hline A &0 &-0.29 &0 &-0.81 &-0.33 &1.57 &0 &-0.25 &-0.22 &0\\ \hline B &-0.5 &0 &-0.24 &0.46 &0 &-0.77 &0.89 &0.29 &0.25 &0.46\\ \hline C &-0.41 &0.31 &0 &0.43 &0.74 &-0.58 &0 &0.27 &0.24 &0.64\\ \hline D &-0.81 &0.58 &0.1 &0 &0.33 &-1.21 &0.3 &0.25 &0.22 &0.3\\ \hline E &-0.88 &0.58 &-0.1 &0.81 &0 &-0.31 &0.71 &0 &0 &0.31\\ \hline F &0.88 &-0.36 &0 &-2.7 &-0.42 &0 &-0.37 &-0.31 &-0.28 &-0.37\\ \hline G &-0.41 &0.99 &0 &0.88 &1.16 &-0.29 &0 &0 &0 &0.64\\ \hline H &-1.62 &-0.5 &0 &0.58 &0.48 &-1.16 &0 &0 &0.6 &0.58\\ \hline I &-1.49 &0 &0 &0.93 &0 &-1.07 &1.16 &1.01 &0 &1.16\\ \hline J &-0.41 &0.99 &-0.1 &0.88 &1.16 &-0.58 &0.64 &0 &0 &0\\ \hline \end{array} $$

$$D=C^T=\begin{array}{c|c|c|c|c|c|c}{M_{10 \times10}} &A &B &C &D &E &F &G &H &I &J\\ \hline A &0 &-0.5 &-0.41 &-0.81 &-0.88 &0.88 &-0.41 &-1.62 &-1.49 &-0.41\\ \hline B &-0.29 &0 &0.31 &0.58 &0.58 &-0.36 &0.99 &-0.5 &0 &0.99\\ \hline C &0 &-0.24 &0 &0.1 &-0.1 &0 &0 &0 &0 &-0.1\\ \hline D &-0.81 &0.46 &0.43 &0 &0.81 &-2.7 &0.88 &0.58 &0.93 &0.88\\ \hline E &-0.33 &0 &0.74 &0.33 &0 &-0.42 &1.16 &0.48 &0 &1.16\\ \hline F &1.57 &-0.77 &-0.58 &-1.21 &-0.31 &0 &-0.29 &-1.16 &-1.07 &-0.58\\ \hline G &0 &0.89 &0 &0.3 &0.71 &-0.37 &0 &0 &1.16 &0.64\\ \hline H &-0.25 &0.29 &0.27 &0.25 &0 &-0.31 &0 &0 &1.01 &0\\ \hline I &-0.22 &0.25 &0.24 &0.22 &0 &-0.28 &0 &0.6 &0 &0\\ \hline J &0 &0.46 &0.64 &0.3 &0.31 &-0.37 &0.64 &0.58 &1.16 &0\\ \hline \end{array} $$

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$$|D|=\begin{array}{c|c|c|c|c|c|c}{M_{10 \times10}} &A &B &C &D &E &F &G &H &I &J\\ \hline A &0 &0.5 &0.41 &0.81 &0.88 &0.88 &0.41 &1.62 &1.49 &0.41\\ \hline B &0.29 &0 &0.31 &0.58 &0.58 &0.36 &0.99 &0.5 &0 &0.99\\ \hline C &0 &0.24 &0 &0.1 &0.1 &0 &0 &0 &0 &0.1\\ \hline D &0.81 &0.46 &0.43 &0 &0.81 &2.7 &0.88 &0.58 &0.93 &0.88\\ \hline E &0.33 &0 &0.74 &0.33 &0 &0.42 &1.16 &0.48 &0 &1.16\\ \hline F &1.57 &0.77 &0.58 &1.21 &0.31 &0 &0.29 &1.16 &1.07 &0.58\\ \hline G &0 &0.89 &0 &0.3 &0.71 &0.37 &0 &0 &1.16 &0.64\\ \hline H &0.25 &0.29 &0.27 &0.25 &0 &0.31 &0 &0 &1.01 &0\\ \hline I &0.22 &0.25 &0.24 &0.22 &0 &0.28 &0 &0.6 &0 &0\\ \hline J &0 &0.46 &0.64 &0.3 &0.31 &0.37 &0.64 &0.58 &1.16 &0\\ \hline \end{array} $$

$$FA=\begin{array}{c|c|c|c|c|c|c}{M_{10 \times10}} &A &B &C &D &E &F &G &H &I &J\\ \hline A &0 &0.19 &0.15 &0.3 &0.33 &0.33 &0.15 &0.6 &0.55 &0.15\\ \hline B &0.11 &0 &0.11 &0.21 &0.21 &0.13 &0.37 &0.18 &0 &0.37\\ \hline C &0 &0.09 &0 &0.04 &0.04 &0 &0 &0 &0 &0.04\\ \hline D &0.3 &0.17 &0.16 &0 &0.3 &1 &0.33 &0.21 &0.34 &0.33\\ \hline E &0.12 &0 &0.27 &0.12 &0 &0.16 &0.43 &0.18 &0 &0.43\\ \hline F &0.58 &0.29 &0.21 &0.45 &0.11 &0 &0.11 &0.43 &0.4 &0.21\\ \hline G &0 &0.33 &0 &0.11 &0.26 &0.14 &0 &0 &0.43 &0.24\\ \hline H &0.09 &0.11 &0.1 &0.09 &0 &0.12 &0 &0 &0.38 &0\\ \hline I &0.08 &0.09 &0.09 &0.08 &0 &0.1 &0 &0.22 &0 &0\\ \hline J &0 &0.17 &0.24 &0.11 &0.11 &0.14 &0.24 &0.22 &0.43 &0\\ \hline \end{array} $$

$$FB=\begin{array} {c|c|c}{M_{10 \times10}} &A &B &C &D &E &F &G &H &I &J\\ \hline A &1 &0.19 &0.15 &0.3 &0.33 &0.33 &0.15 &0.6 &0.55 &0.15\\ \hline B &0.11 &1 &0.11 &0.21 &0.21 &0.13 &0.37 &0.18 &0 &0.37\\ \hline C &0 &0.09 &1 &0.04 &0.04 &0 &0 &0 &0 &0.04\\ \hline D &0.3 &0.17 &0.16 &1 &0.3 &1 &0.33 &0.21 &0.34 &0.33\\ \hline E &0.12 &0 &0.27 &0.12 &1 &0.16 &0.43 &0.18 &0 &0.43\\ \hline F &0.58 &0.29 &0.21 &0.45 &0.11 &1 &0.11 &0.43 &0.4 &0.21\\ \hline G &0 &0.33 &0 &0.11 &0.26 &0.14 &1 &0 &0.43 &0.24\\ \hline H &0.09 &0.11 &0.1 &0.09 &0 &0.12 &0 &1 &0.38 &0\\ \hline I &0.08 &0.09 &0.09 &0.08 &0 &0.1 &0 &0.22 &1 &0\\ \hline J &0 &0.17 &0.24 &0.11 &0.11 &0.14 &0.24 &0.22 &0.43 &1\\ \hline \end{array} $$

$$FR=\begin{array} {c|c|c}{M_{10 \times10}} &A &B &C &D &E &F &G &H &I &J\\ \hline A &1 &0.33 &0.27 &0.33 &0.33 &0.33 &0.33 &0.6 &0.55 &0.33\\ \hline B &0.21 &1 &0.26 &0.21 &0.26 &0.21 &0.37 &0.22 &0.37 &0.37\\ \hline C &0.09 &0.09 &1 &0.09 &0.09 &0.09 &0.09 &0.09 &0.09 &0.09\\ \hline D &0.58 &0.33 &0.27 &1 &0.33 &1 &0.33 &0.58 &0.55 &0.33\\ \hline E &0.21 &0.33 &0.27 &0.21 &1 &0.21 &0.43 &0.22 &0.43 &0.43\\ \hline F &0.58 &0.33 &0.27 &0.45 &0.33 &1 &0.33 &0.58 &0.55 &0.33\\ \hline G &0.21 &0.33 &0.26 &0.21 &0.26 &0.21 &1 &0.22 &0.43 &0.33\\ \hline H &0.12 &0.12 &0.12 &0.12 &0.12 &0.12 &0.12 &1 &0.38 &0.12\\ \hline I &0.12 &0.12 &0.12 &0.12 &0.12 &0.12 &0.12 &0.22 &1 &0.12\\ \hline J &0.21 &0.24 &0.24 &0.21 &0.24 &0.21 &0.24 &0.22 &0.43 &1\\ \hline \end{array} $$阈值集合$\ddot \Delta $ 有18元素

$$CR=\begin{array}{c|c|c|c|c|c|c}{M_{10 \times10}} &A &B &C &D &E &F &G &H &I &J\\ \hline A &2.6999 &0.8837 &0.7364 &0.8837 &0.8837 &0.8837 &0.8837 &1.6219 &1.4944 &0.8837\\ \hline B &0.5792 &2.6999 &0.7133 &0.5792 &0.7133 &0.5792 &0.9902 &0.5989 &0.9902 &0.9902\\ \hline C &0.2429 &0.2429 &2.6999 &0.2429 &0.2429 &0.2429 &0.2429 &0.2429 &0.2429 &0.2429\\ \hline D &1.5694 &0.8837 &0.7364 &2.6999 &0.8837 &2.6999 &0.8837 &1.5694 &1.4944 &0.8837\\ \hline E &0.5792 &0.8944 &0.7364 &0.5792 &2.6999 &0.5792 &1.1552 &0.5989 &1.1552 &1.1552\\ \hline F &1.5694 &0.8837 &0.7364 &1.2104 &0.8837 &2.6999 &0.8837 &1.5694 &1.4944 &0.8837\\ \hline G &0.5792 &0.8944 &0.7133 &0.5792 &0.7133 &0.5792 &2.6999 &0.5989 &1.1566 &0.8944\\ \hline H &0.3141 &0.3141 &0.3141 &0.3141 &0.3141 &0.3141 &0.3141 &2.6999 &1.0137 &0.3141\\ \hline I &0.3141 &0.3141 &0.3141 &0.3141 &0.3141 &0.3141 &0.3141 &0.5989 &2.6999 &0.3141\\ \hline J &0.5792 &0.6446 &0.6446 &0.5792 &0.6446 &0.5792 &0.6446 &0.5989 &1.1566 &2.6999\\ \hline \end{array} $$阈值集合$\ddot \Delta $ 有18元素

序号	阈值集合中——特征阈值	聚类特征-对应截距$\lambda $数值区段	ISM运算过程
1	0.2429	0<$\lambda$<0.2429	λ截距阵的对抗层级拓扑图比较计算
2	0.3141	0.2429<$\lambda$<0.3141	λ截距阵的对抗层级拓扑图比较计算
3	0.5792	0.3141<$\lambda$<0.5792	λ截距阵的对抗层级拓扑图比较计算
4	0.5989	0.5792<$\lambda$<0.5989	λ截距阵的对抗层级拓扑图比较计算
5	0.6446	0.5989<$\lambda$<0.6446	λ截距阵的对抗层级拓扑图比较计算
6	0.7133	0.6446<$\lambda$<0.7133	λ截距阵的对抗层级拓扑图比较计算
7	0.7364	0.7133<$\lambda$<0.7364	λ截距阵的对抗层级拓扑图比较计算
8	0.8837	0.7364<$\lambda$<0.8837	λ截距阵的对抗层级拓扑图比较计算
9	0.8944	0.8837<$\lambda$<0.8944	λ截距阵的对抗层级拓扑图比较计算
10	0.9902	0.8944<$\lambda$<0.9902	λ截距阵的对抗层级拓扑图比较计算
11	1.0137	0.9902<$\lambda$<1.0137	λ截距阵的对抗层级拓扑图比较计算
12	1.1552	1.0137<$\lambda$<1.1552	λ截距阵的对抗层级拓扑图比较计算
13	1.1566	1.1552<$\lambda$<1.1566	λ截距阵的对抗层级拓扑图比较计算
14	1.2104	1.1566<$\lambda$<1.2104	λ截距阵的对抗层级拓扑图比较计算
15	1.4944	1.2104<$\lambda$<1.4944	λ截距阵的对抗层级拓扑图比较计算
16	1.5694	1.4944<$\lambda$<1.5694	λ截距阵的对抗层级拓扑图比较计算
17	1.6219	1.5694<$\lambda$<1.6219	λ截距阵的对抗层级拓扑图比较计算
18	2.6999	1.6219<$\lambda$<2.6999	λ截距阵的对抗层级拓扑图比较计算